6) By moving the tangent and examine lines on both graphs, it is apparent that the slope of the top graph and the growth rate on the bottom graph are identical.
8) Colin's change in height from age 5 to 10 is .354m. This is found by subtracting the minimum height from the mazimum height height over the interval.
9) The area from 5 to 10 years on the integral graph represents Collin's total growth during that period. It is very similar to the answer in number 8.
10) If Collin reached his maximum height at age 20, the generalization that a child at age 3 is half his or her height is correct. It is also false that "teenagers grow like weeds" because his growth rate as a teenager is not very rapid. Collin grew the fastest before and around age one.
6) By moving the tangent and examine lines on both graphs, it is apparent that the slope of the top graph and the growth rate on the bottom graph are identical.
8) Colin's change in height from age 5 to 10 is .354m. This is found by subtracting the minimum height from the mazimum height height over the interval.
9) The area from 5 to 10 years on the integral graph represents Collin's total growth during that period. It is very similar to the answer in number 8.
10) If Collin reached his maximum height at age 20, the generalization that a child at age 3 is half his or her height is correct. It is also false that "teenagers grow like weeds" because his growth rate as a teenager is not very rapid. Collin grew the fastest before and around age one.